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679644900 = 223252112792
BaseRepresentation
bin101000100000101…
…000111011100100
31202100212112112100
4220200220323210
52342442114100
6151235052100
722561613004
oct5040507344
91670775470
10679644900
11319707300
1216b741030
13aaa6345c
146639a004
153ea01400
hex28828ee4

679644900 has 243 divisors, whose sum is σ = 2371594953. Its totient is φ = 162676800.

The previous prime is 679644893. The next prime is 679644907. The reversal of 679644900 is 9446976.

The square root of 679644900 is 26070.

It is a perfect power (a square), and thus also a powerful number.

It is an interprime number because it is at equal distance from previous prime (679644893) and next prime (679644907).

It can be written as a sum of positive squares in only one way, i.e., 244672164 + 434972736 = 15642^2 + 20856^2 .

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (679644907) by changing a digit.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 8603061 + ... + 8603139.

Almost surely, 2679644900 is an apocalyptic number.

679644900 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

679644900 is the 26070-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 679644900

679644900 is an abundant number, since it is smaller than the sum of its proper divisors (1691950053).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

679644900 is a wasteful number, since it uses less digits than its factorization.

679644900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 200 (or 100 counting only the distinct ones).

The product of its (nonzero) digits is 326592, while the sum is 45.

The cubic root of 679644900 is about 879.2128377580.

The spelling of 679644900 in words is "six hundred seventy-nine million, six hundred forty-four thousand, nine hundred".